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In the abstract, it's possible to have knowledge without having proof.

I don't know what "in the abstract" means in this case, but I do know that claiming to "know" something without having actual proof is what's called a conjecture:


A conjecture is not the same as knowledge, "in the abstract" or otherwise.

If I saw something with my own eyes, but didn't capture a video recording of it, I could argue that I have knowledge but not proof.

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